Question

What is the coefficient of A, A in the expansion of (x + y)?

A. 1
B. 4
C. 70
D. It does not exist

Answer 1

The coefficient of A, A in the expansion of (x + y) is 0.

Step-by-step explanation:

The coefficient of A, A in the expansion of (x + y) can be determined using the binomial theorem:

(a + b)n = C(n, 0) * an * b0 + C(n, 1) * an-1 * b1 + C(n, 2) * an-2 * b2 + ... + C(n, n) * a0 * bn

In this case, a = x, b = y, and n = 1. Plugging in these values, we get:

(x + y)1 = C(1, 0) * x1 * y0 + C(1, 1) * x0 * y1

Therefore, the coefficient of A, A in the expansion of (x + y) is 0.